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Finding the Fourth Proportional to 873.75, 1,205.78 and 524.51

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Solution

The fourth proportional to 873.75, 1,205.78 and 524.51 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.75 : 1,205.78 = 524.51 : x
  2. Step 2: Convert to fraction form
    873.75/1,205.78 = 524.51/x
  3. Step 3: Cross multiply
    873.75x = 1,205.78 × 524.51
  4. Step 4: Simplify right side
    873.75x = 632,443.67
  5. Step 5: Solve for x
    x = 632,443.67/873.75
  6. Step 6: Final answer
    x = 723.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.